Question

the side of the rectangle plot in the ratio is 5:4 and its area is equal to 500sqm. find the perimeter of the plot

Answer 1

Hi friend!

Answer:

Length of the rectangular plot = 5x
Breadth = 4x
Ratio = 5x : 4x (same as 5:4)

Area = l × b = 5x × 4x = 20x²
= 500m²

20x² = 500m²
x² = 500m² ÷ 20
x² = 25m²
x = √(25m²)
x = 5m

Length = 5x = 5(5) = 25m
Breadth = 4x = 4(5) = 20m
Perimeter = 2(l + b)
= 2(25 + 20) = 2 × 45
= 90m

Therefore, perimeter of the rectangular plot is 90m.

Hope you found my answer helpful. Keep Smiling!

Answer 2

Solutions :-

Given :
The side of the rectangle plot in the ratio is 5:4

and its area is equal to 500 sq. m

Let the length and breadth be 5x and 4x respectively.

Area of rectangle = Length × Breadth
=> 500 = 4x × 5x
=> 500 = 20x²
=> 500/20 = x²
=> 25 = x²
=> √25 = x = 5

Therefore,
Length = 5x = 5 × 5 = 25 m
Breadth = 4x = 4 × 5 = 20 m

Find the perimeter of rectangular plot :-

Perimeter of rectangle = 2(Length + Breadth)
= 2(25 + 20) m
= 2 × 45 m
= 90 m

Hence,
Perimeter of rectangle plot = 90 m

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✯ @shivamsinghamrajput ✯